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A2 (Extensive-Form Games, 12 Points) Two players play two different simultaneous moye games one after the other, the first game called game A, the second

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A2 (Extensive-Form Games, 12 Points) Two players play two different simultaneous moye games one after the other, the first game called game A, the second one called game B, and the game where both are played one after the other is called game C. After the game A has been played both players observe what both players have chosen in game A before both players play the game B. We will investigate subgame perfect Nash equilibria of game C. [a] Consider the following statement: "in each subgame perfect Nash equilibrium of game C a Nash equilibrium must be played in game B\". is this statement true or false? Explain your EHSWEI'. [b] Consider the following statement: "In each subgame perfect Nash equilibrium of game C a Nash equilibrium must be played in game A". is this statement true or false? Explain your answer. [5] l5]

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